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Answer: The required difference is 255 m .

Step-by-step explanation: Since we have given that

Distance at which the aircraft is above the surface = 200 m

Distance at which the submarine is below the surface = 55 m

Above the surface is represented as positive number i.e. (+) 200 m

Below the surface is represented as negative number i.e. (-) 55 m

Hence, the required difference is 255 m .

(sorry if im wrong)

:(

-2/3 is the simplified form of the expression -1/2 ÷ 3/4.

Given the expression in the question;

-1/2 ÷ 3/4

To divide by a fraction, multiply by its reciprocal.

-1/2 ÷ 3/4

Reciprocal of 3/4 is 4/3

Hence

-1/2 × 4/3

Next, we cancel out the common factor of 2

Factor out 2 from 4

-1/2 × 2(2)/3

-1/1 × 2/3

( -1 × 2 ) / ( 1 × 3 )

(-2) / (3)

-2/3

Therefore, the simplified form is -2/3

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You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

Answer:

x=6.5

Step-by-step explanation:

2x+3=16

2x=16-3

2x=13

x=13/2

x=6.5

The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Answer:

56, 57, and 58.

Step-by-step explanation:

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

your answer is 91 over 5

Step-by-step explanation:

Answer:

its 2 with a power of 3 over ten.

Step-by-step explanation:

I got it wrong and just clicked show correct answer.

Answer:

\([-5,5]\)

Step-by-step explanation:

The range is the y-axis, and the endpoints are filled in, so we put brackets.

Side note:

This is called Interval Notation. This is very important when you ask for the domain and range of functions (domain is for the x-axis). You will see this system A LOT, so you have to get used to the name and the language Interval notation uses.

Answer:

1/3

Step-by-step explanation:

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

\( P(X>4)\)

And we can use the cumulative distribution fucntion given by:

\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)

And if we use this formula with the complement rule we have:

\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)

And the best option would be:

B. 0.4286

Step-by-step explanation:

Let X the random variable that represent the time that customers wait to be served at the delicastessen for a grocery store. And we know that the distribution for X is given by:

\( X \sim Unif( a=0, b=7)\)

And we want to find the follwing probability:

\( P(X>4)\)

And we can use the cumulative distribution fucntion given by:

\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)

And if we use this formula with the complement rule we have:

\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)

And the best option would be:

B. 0.4286

The probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

Given The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes {1,2,3,4,5,6,7}.

We have to calculate probability that a randomly selected customer will wait more than 4 minutes at the delicatessen. So for more than 4 minutes their is only 3 outcomes possible {5,6,7} because the data is uniformly distributed.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability (Event) = Favorable Outcomes/Total Outcomes = x/n

Now, probability (more than 4 minute)\(= \frac{3}{7}\)

probability (more than 4 minute)\(= 0.4286\).

Hence the probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

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Answer:

QPT is obtuse

SPQ is acute

TPR is right

Step-by-step explanation:

Took geometry two years ago

Answer:

TPR is a right angle all the other are wrong tho

Step-by-step explanation:

Answer:

If you WANT to divide pi, there is half a pi left.

Step-by-step explanation:

There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.

(if that makes sense! sorry if it doesn't :\ )

Answer:D

Step-by-step explanation: Perimeter of field is 2(length +breadth)

=2(47+158)

=410 yards.

Convert to feet= 1230ft

1ft =$3.28

1230ft will be 1230×3.28

Ans $4034.4

Answer: To solve the inequality x^2 + 3x - 4 > 0, we can use the method of factoring.

First, we can factor the quadratic expression:

x^2 + 3x - 4 = (x + 4)(x - 1)

Now we can find the values of x that make the expression greater than zero by looking at the sign of the expression for each factor and applying the sign rules of multiplication:

Using this method, we can create a sign chart:

x x + 4 x - 1 x^2 + 3x - 4

-4 0 -5 +6

-1 + - -

1 + + +

0 + - -

2 + + +

From the sign chart, we can see that the expression is greater than zero for x < -4 or x > 1. Therefore, the solutions to the inequality are all real numbers x such that x < -4 or x > 1. We can write this as:

x < -4 or x > 1

The statement "If the correlation coefficient of two numeric variables is greater than 0.5, we can assume that one variable causes the other" is incorrect.

Correlation:

Two variables are said to be correlated if there is an association between them.

If the correlation coefficient is greater than 0.5, there is a strong correlation between the two variables. Then, when one variable changes, the other variable also changes. If two variables are related/correlated, we cannot say that one variable causes the other. Correlation does not imply causation.

Therefore, the statement "If the correlation coefficient of two numeric variables is greater than 0.5, we can assume that one variable causes the other" is incorrect.

Statistics aren't always correct. Sampling and other data may have errors. In that case, they cannot be assumed to be true.

So the statement when presented with statistics, we can assume that the results are correct is false.

If it approaches 0, the correlation is said to be low. A low value indicates a weak correlation.

So the statement "a low correlation coefficient means that the variables are weakly correlated" is true.

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To construct an equilateral triangle inscribed in a circle, construct six equal sections around the circle keeping the radius as guide.

So option B is correct.

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

a. population mean = mean of the sampling distribution  is true about the relationship between the population mean and the mean of the sampling distribution

The overall population of a category with the characteristics that a researcher is interested in is referred to as the populace in statistics. While the population's average and the sample's means are equivalent, the population's standard deviation, sample size, and population density all affect the sample's standard error. The average of the sample distribution serves as a reasonable approximation of the population means.

The average mean of the sample distribution is therefore equal to the population mean. Option b is erroneous as it implies that the population's mean is higher than the mean of the sampling distribution. The population mean is not less than the mean of the sampling distribution, as implied by Option C, which is also incorrect.

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The amount of cash generated is 78.75 Million.

Price-sales ratio, often known as the P/S ratio or PSR, is a stock valuation indicator. It is computed by dividing the market capitalization of the company by its most recent fiscal year's revenue, or, equivalently, by dividing the share price of the stock by its revenue per share.

The sales ratio will be calculated as below:-

Sales= $450  Million

Fixed Assets= $225  Million

% of capacity utilized. . 65%

Sales at full capacity = actual sales/%of capacity used = 692.31 millions dollars .

Target FA = Full capacity FA/sales = FA/Capacity sales = 32.50%

(225*65% = 146.25, 146.25/450 = 32.50%)

Optimal FA = sales * targeted FA/Sales Ratio = 450*32.50% = 146.25

Cash Generated = Actual FA-optimal FA = 225-146.25 = 78.75 millions dollars

Therefore, the amount of cash generated is 78.75 Million.

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Answer:

(0,4) is the answer hope it helps

Answer:

The mathematical equation for calculating the monthly interest is

I = P * (r / n)

where:

I is the monthly interest

P is the loan amount minus the down payment (i.e., $245,000 - $44,000 = $201,000 in this case)

r is the annual interest rate (i.e., 3.5%)

n is the number of payments per year (i.e., 12 for monthly payments)

then I = $201,000 * (0.035 / 12) = $711.06

Step-by-step explanation:

The number of employees before the layoff = 2000

"It is a number can be expressed as a fraction of 100."

For given question,

Let 'n' be the the number of employees before layoff.

A company laid off 80% of its work force.

The number of employees after the layoff is 400.

The number of employees after the layoff would be,

⇒ n - (80 percent of n) = 400

\(\Rightarrow n-(n\times \frac{80}{100} )=400\\\\\Rightarrow n[1-0.8]=400\\\\\Rightarrow n\times 0.2=400\\\\\Rightarrow n=2000\)

Therefore, the number of employees before the layoff = 2000

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Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

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